extrapolate
verb
ex·trap·o·late
ik-ˈstra-pə-ˌlāt
extrapolated; extrapolating
1
a
: to predict by projecting past experience or known data
Party officials extrapolated public sentiment on one issue from known public reaction on others.
b
: to project, extend, or expand (known data or experience) into an area not known or experienced so as to arrive at a usually conjectural knowledge of the unknown area
Researchers extrapolate present trends to construct an image of the future.
2
: to infer (values of a variable in an unobserved interval) from values within an already observed interval
: to perform the act or process of extrapolating
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Merriam-Webster unabridged




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